Point-Slope Form

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the point-slope form of a linear equation?
Back
The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
2.
FLASHCARD QUESTION
Front
How do you identify the slope from a point-slope equation?
Back
The slope (m) is the coefficient of (x - x1) in the point-slope form equation.
3.
FLASHCARD QUESTION
Front
Convert the point-slope equation y - 2 = 4(x + 1) to slope-intercept form.
Back
y = 4x + 6.
4.
FLASHCARD QUESTION
Front
What does the term 'slope' represent in a linear equation?
Back
The slope represents the rate of change of y with respect to x, indicating how steep the line is.
5.
FLASHCARD QUESTION
Front
If a line has a slope of -2, what does this indicate about its direction?
Back
A slope of -2 indicates that the line descends from left to right.
6.
FLASHCARD QUESTION
Front
What is the significance of the point (x1, y1) in the point-slope form?
Back
The point (x1, y1) is a specific point on the line that the equation represents.
7.
FLASHCARD QUESTION
Front
How can you determine if a point lies on the line represented by a point-slope equation?
Back
Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.
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